Finding the Third Proportional to 211,460 and 288,022
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Solution
The third proportional to 211,460 and 288,022 is: 392,304.32
Step by Step Solution
- Step 1: Write the proportion equation
211,460 : 288,022 = 288,022 : x - Step 2: Convert to fraction form
211,460/288,022 = 288,022/x - Step 3: Cross multiply
211,460x = 288,022 × 288,022 - Step 4: Simplify right side
211,460x = 82,956,672,484 - Step 5: Solve for x
x = 82,956,672,484/211,460 - Step 6: Final answer
x = 392,304.32
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.